A company makes plastic beach balls with a radius of 2 inches. How many square inches of plastic does the company

Mathematics

1 answer:

Xelga [282]3 years ago

7 0

Answer:

$A=502.4\ \text{inches}^2$

Step-by-step explanation:

The radius of the ball, r = 2 inches

We need to find how many square inches of plastic does the company need to make 10 beach balls.

Let A be the area of 1 ball. Balls are in the form of spheres. The area of a sphere is given by :

$A=4\pi r^2$

For 10 balls,

$A=10\times 4\pi r^2\\\\=10\times 4 \times 3.14\times (2)^2\\\\=502.4\ \text{inches}^2$

Hence, the area of 10 beach balls is $502.4\ \text{inches}^2$ .

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David has 3 1/2 cups of blueberries. He uses 1/4 of a cup of blueberries to make a breakfast smoothie. He uses 1/2 of the remain

dusya [7]

Answer:

$1\frac{5}{8}$ cup of blueberries

Step-by-step explanation:

Since David starts out with 3 1/2 cups of blueberries and uses 1/4 cup to make a smoothie, we will need to subtract 1/4 from his starting amount of 3 1/2

$3\frac{1}{2}-\frac{1}{4} =3\frac{1}{4}$ David now has 3 1/4 cup of blueberries

David then uses half of this new amount of blueberries to make his pancakes. We will need to divide by 2 in order to figure out how much half is

First we can turn 3 1/4 into an improper fraction to make it easier to work with → 3 1/4 = 13/4
Now dividing 13/4 by 2 gives us $\frac{\frac{13}{4} }{2} =(\frac{13}{4})(\frac{1}{2}) = \frac{13}{8}$
David used 13/8 cups of blueberries to make his pancakes
Turning this back into a mixed number leaves him with 1 5/8 cup of blueberries